54.2k views
21 votes
Please help me with this angle question :)

Please help me with this angle question :)-example-1

2 Answers

5 votes

Answer:

angle AED = 70 degrees

angle x = 10 degrees

Explanation:

since angle ABD = 110 degrees, major arc AED = 2(110) = 220 degrees

since angle ADB = 40 degrees, minor arc AB = 2(40) = 80 degrees

minor arc BD = 360 - 220 - 80 = 60 degrees

arc AB + arc BD = arc ABD

arc ABD = 80 + 60 = 140 degrees

angle AED = 1/2 (140) = 70 degrees

angle EAD = angle AED because isosceles

arc ED = 2(70) = 140 degrees

arc AE = arc AED - arc ED = 80 degrees

angle x = 1/2(arc AE - arc BD) = 1/2(80 -60) = 10 degrees

User Tmucha
by
4.9k points
4 votes

Answer:

its an acute angle

Explanation:

its an acute angle be cause its small than a right angle

User Lboshuizen
by
4.8k points